Kaluza-Klein black hole with negatively curved extra dimensions in string generated gravity models

Abstract

We obtain a new exact black-hole solution in Einstein-Gauss-Bonnet gravity with a cosmological constant which bears a specific relation to the Gauss-Bonnet coupling constant. The spacetime is a product of the usual 4-dimensional manifold with a $(n-4)$-dimensional space of constant negative curvature, i.e., its topology is locally ${\ma M}^n \approx {\ma M}^4 \times {\ma H}^{n-4}$. The solution has two parameters and asymptotically approximates to the field of a charged black hole in anti-de Sitter spacetime. The most interesting and remarkable feature is that the Gauss-Bonnet term acts like a Maxwell source for large $r$ while at the other end it regularizes the metric and weakens the central singularity.

4 pages, 2 figures, final version to appear in Physical Review D as a rapid communication

References in corpus (2)

• On black strings & branes in Lovelock gravity
• Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories

Cited by in corpus (7)

• The Lovelock Black Holes
• Matter without matter: novel Kaluza-Klein spacetime in Einstein-Gauss-Bonnet gravity
• General Relativity with small cosmological constant from spontaneous compactification of Lovelock theory in vacuum
• Origin of matter out of pure curvature
• Black hole solutions of dimensionally reduced Einstein-Gauss-Bonnet gravity with a cosmological constant
• Summary of session A4 at the GRG18 conference: Alternative Theories of Gravity
• Asymptotic properties of black hole solutions in dimensionally reduced Einstein-Gauss-Bonnet gravity